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Popular >

expand e^{ln(ln(e^3))}

Solution

expand

e^{l n (l n (e^{3}))}

Solution

3

Solution steps

e^{l n (l n (e^{3}))}

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{3}) = 3 ln (e)

= e^{l n (3 l n (e))}

Simplify

ln (e) : 1

= e^{l n (3 \cdot 1)}

Multiply the numbers:

3 \cdot 1 = 3

= e^{l n (3)}

Apply log rule:

a^{l o g_{a} (b)} = b

= 3

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Frequently Asked Questions (FAQ)

What is expand e^{ln(ln(e^3))} ?
The solution to expand e^{ln(ln(e^3))} is 3